diagonals of a quadrilateral abcd bisect its angles – Discussion Forum

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Virat

Asked: September 30, 2026In: Class 9 Maths

The following questions examine converses of true properties. Answer them with Yes or No. If your answer is No, what extra condition can you add so that the answer becomes Yes? (i) If the diagonals of a quadrilateral ABCD bisect its angles, must ABCD be a rhombus? (ii) If the diagonals of a quadrilateral ABCD bisect each other at right angles, must ABCD be a rhombus? (iii) If the diagonals of a quadrilateral ABCD are of equal length, must ABCD be a rectangle?

(i) Yes. (ii) Yes. (iii) No; an isosceles trapezium also has equal diagonals. Extra condition: the quadrilateral must be a parallelogram or its diagonals must also bisect each other. Ganita Manjari Part 2 chapter 12 question answer Quadrilaterals Solutions – Ganita ...